Question: 13.4. A sample of size 5 is obtained from a random variable with distribution N(12,4). (a) What is the probability that the sample mean exceeds

13.4. A sample of size 5 is obtained from a random variable with distribution N(12,4).

(a) What is the probability that the sample mean exceeds 13?

(b) What is the probability that the minimum of the sample is less than 10?

(c) What is the probability that the maximum of the sample exceeds 15?

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